The probability of winning on the next turn in a play of game that uses two fair number cubes is 0.2222 or 22.22%.
Probability of an event is the ratio of number of favorable outcome to the total number of outcome of that event.
You are playing a game that uses two fair number cubes. If the total on the number cubes is either 6 or 10 on your next turn, you win the game.
In the two fair number cubes, there are total 36 outcomes. In this fair,
Total number of favorable outcome is,
[tex]5+3=8[/tex]
Thus, the probability of getting these 8 outcomes from 36 outcomes is,
[tex]P=\dfrac{8}{36}\\P=0.222\\P=22.22\%[/tex]
Thus, the probability of winning on the next turn in a play of game that uses two fair number cubes is 0.2222 or 22.22%.
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